Submission #1071963

#TimeUsernameProblemLanguageResultExecution timeMemory
1071963mickey080929Arranging Tickets (JOI17_arranging_tickets)C++17
100 / 100
3642 ms12576 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; typedef pair<ll,ll> pll; struct SegmentTree{ vector<ll> tree; vector<ll> lazy; void init(ll n) { ll sz = 1 << __lg(n-1) + 2; tree.assign(sz, 0); lazy.assign(sz, 0); } void build(ll node, ll s, ll e, vector<ll> &v) { lazy[node] = 0; if (s == e) { tree[node] = v[s]; return; } ll mid = s + e >> 1; build(node*2, s, mid, v); build(node*2+1, mid+1, e, v); tree[node] = max(tree[node*2], tree[node*2+1]); } void propagate(ll node, ll s, ll e) { tree[node] += lazy[node]; if (s != e) { lazy[node*2] += lazy[node]; lazy[node*2+1] += lazy[node]; } lazy[node] = 0; } void update(ll node, ll s, ll e, ll l, ll r, ll v) { propagate(node, s, e); if (l > e || s > r) return; if (l <= s && e <= r) { lazy[node] = v; propagate(node, s, e); return; } ll mid = s + e >> 1; update(node*2, s, mid, l, r, v); update(node*2+1, mid+1, e, l, r, v); tree[node] = max(tree[node*2], tree[node*2+1]); } ll query(ll node, ll s, ll e, ll l, ll r) { propagate(node, s, e); if (l > e || s > r) return 0; if (l <= s && e <= r) return tree[node]; ll mid = s + e >> 1; return max(query(node*2, s, mid, l, r), query(node*2+1, mid+1, e, l, r)); } }; SegmentTree seg; struct Move{ ll A, B, C; }; ll N, M; ll solve(ll X, vector<ll> &use, vector<Move> &a) { seg.build(1, 0, N-1, use); ll ans = 0; for (ll i=0; i<M; i++) { ll mx = seg.query(1, 0, N-1, a[i].A, a[i].B-1); if (mx == X) continue; seg.update(1, 0, N-1, a[i].A, a[i].B-1, min(a[i].C, (X - mx) / 2) * 2); ans += min(a[i].C, (X - mx) / 2); } return ans; } int main() { ios_base :: sync_with_stdio(false); cin.tie(NULL); cin >> N >> M; vector<Move> a(M); ll tot = 0; for (ll i=0; i<M; i++) { cin >> a[i].A >> a[i].B >> a[i].C; a[i].A --; a[i].B --; if (a[i].A > a[i].B) swap(a[i].A, a[i].B); tot += a[i].C; } sort(a.begin(), a.end(), [&] (Move &u, Move &v) { if (u.B == v.B) return u.A > v.A; return u.B < v.B; }); vector<ll> use(N, 0); seg.init(N); for (ll i=0; i<M; i++) { seg.update(1, 0, N-1, a[i].B, N-1, a[i].C); seg.update(1, 0, N-1, 0, a[i].A-1, a[i].C); } for (ll i=0; i<N; i++) { use[i] = seg.query(1, 0, N-1, i, i); } ll ans = tot - solve(tot, use, a); ll lo = tot+1, hi = tot + min(1000000000LL, ans); while (lo <= hi) { ll mid = (lo + hi) / 2; ll ret1 = mid - solve(mid, use, a); ll ret2 = mid+1 - solve(mid+1, use, a); ans = min({ans, ret1, ret2}); if (ret1 > ret2) { lo = mid + 2; } else { hi = mid - 1; } } cout << ans << '\n'; }
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